查询词典 harmonic integrals

On the basis of the investigation of different moments, the concept of generalized moments is firstly defined and then, an abstract algorithm framework for computing the accurate generalized moments is presented. The framework replaces integrals on 2-dimensions space by summations on 1-dimension ORBIR list without introducing the error incurred by discrete sampling, and therefore, reduces the computation complexity for moments generation.

矩在工程实践中的应用非常广泛，在考察矩的实质的基础上，定义了泛化矩的概念，并研究泛化矩的生成框架，该框架在不引入离散化过程中存在的采样误差的前提下，将矩生成过程中需要的二重积分运算转化为在一维的ORBIR矩形序列上的求和，因此降低了矩生成的计算复杂度。

Even if you're familiarwith summations, integrals, polynomials, exponents, etc., ifyou see a thick nest of them your inclination is probably toskip right over that sucker as one atomic operation.

即使你熟悉累加，积分，多项式，指数，等等，如果你看到一堆符号堆彻的异常复杂时，你就把他实现的功能简单的当成一个原子操作好了，不要深究太多。

Even if you're familiarwith summations, integrals, polynomials, exponents, etc., ifyou see a thick nest of them your inclination is probably toskip right over that sucker as one atomic operation.

即使你认识累加，积分，多项式，指数，等等，如果你看到一堆符号堆彻的异常复杂时，你就把他实现的功能简单的当成一个原子操作好了，不要深究太多。

We found that the action integrals correspond to the constants of motion of the quantal levels.

即周期轨迹中短周期轨迹的作用量的整数值正好可与量子态有对应关系。

In software,I used location PID control algorithm to achieve the right systemPID tuning parameters, PID controller is the ratio of integrals,integral saturation correction factor, the parameters such asintegration time, Due to reasons of space calculation unmanifestedas if this thesis, it is in the final process directly give thevalue.

在软件实现中，本人采用位置式PID控制算法来实现对系统PID参数的整定，得到PID调节器的比例、积分、饱和积分修正系数、积分时间等参数，由于篇幅原因计算过程未列如本论文内容中，只是在最后程序中直接赋予各值。

This thesis is devoted to the study of 〓-type inequalities for martingales,such as the maximal inequalities,the inequalities for square functions,the inequali-ties for martingale transforms,the inequalities for singular integrals.

第三章证明了关于Hardy平均算子〓的双〓不等式、双〓凸引理，并通过考虑鞅的重排不等式，建立了鞅的双〓均方函数不等式、条件均方函数不等式，给出了这类不等式成立的一个充分必要条件。

Experiment 4: With increasing frequencies, the integrals of pressure changes inside chamber were becoming lower.

而且，当流量变化为时间的不同函数时，体积描记箱内压力积分也将不同。

In order to eliminate the harm brought by the wave aberrance of voltage and current, it is necessary to control the harmonic wave and compensate the reactive power. So it is very important to test the electric parameters.

为了消除电压、电流的波形畸变产生的危害，就必须对电力系统进行谐波抑制和无功补偿，因此对电力系统中的电气参数进行测试和分析就显得尤为重要。

A new method based on the Fourier-Bessel series is proposed to calculate the higher-order harmonic components of a nonlinear ultrasound field in absorbing medium and an analytical solution of a series form is obtained. A closed analytical solution of the higher-order harmonics in the zeroth-order Bessel ultrasound field and the focused Gaussian ultrasound field is deduced to study the field property, especially the near-field property.

提出了一种基于Fourier-Bessel级数的新方法，用于计算吸收媒质中非线性超声场的高次谐波分量，得到其级数形式的解析解，由此推导出吸收媒质中零阶Bessel超声场、Gauss聚焦超声场高次谐波的封闭解析解，进而对其声场特性尤其是近场特性进行了研究。

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。